G=G(4R-1)

Solution for G=G(4R-1) equation:

Simplifying
G = G(4R + -1)

Reorder the terms:
G = G(-1 + 4R)
G = (-1 * G + 4R * G)
G = (-1G + 4GR)

Solving
G = -1G + 4GR

Solving for variable 'G'.

Move all terms containing G to the left, all other terms to the right.

Add 'G' to each side of the equation.
G + G = -1G + G + 4GR

Combine like terms: G + G = 2G
2G = -1G + G + 4GR

Combine like terms: -1G + G = 0
2G = 0 + 4GR
2G = 4GR

Add '-4GR' to each side of the equation.
2G + -4GR = 4GR + -4GR

Combine like terms: 4GR + -4GR = 0
2G + -4GR = 0

Factor out the Greatest Common Factor (GCF), '2G'.
2G(1 + -2R) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'G' equal to zero and attempt to solve:

Simplifying
G = 0

Solving
G = 0

Move all terms containing G to the left, all other terms to the right.

Simplifying
G = 0
Subproblem 2
Set the factor '(1 + -2R)' equal to zero and attempt to solve:

Simplifying
1 + -2R = 0

Solving
1 + -2R = 0

Move all terms containing G to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2R = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2R = 0 + -1
-2R = 0 + -1

Combine like terms: 0 + -1 = -1
-2R = -1

Add '2R' to each side of the equation.
-2R + 2R = -1 + 2R

Combine like terms: -2R + 2R = 0
0 = -1 + 2R

Simplifying
0 = -1 + 2R

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
G = {0}